The pH and conductance of a weak acid (HX) was found to be 5 and 4 × 10^–5 S, respectively. The conductance was measured under standard condition using a cell where the electrode plates having a surface area of 1 cm² were at a distance of 15 cm apart. The value of the limiting molar conductivity is ……….. S m² mol^–1. (nearest integer)
(Given: degree of dissociation of the weak acid (a) << 1)